TSTP Solution File: SYN374+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYN374+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.mIGQV1iPC3 true
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 1 04:03:04 EDT 2023
% Result : Theorem 1.39s 0.77s
% Output : Refutation 1.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 13
% Syntax : Number of formulae : 58 ( 4 unt; 9 typ; 0 def)
% Number of atoms : 132 ( 0 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 277 ( 58 ~; 74 |; 0 &; 136 @)
% ( 9 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 6 ( 6 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 73 ( 0 ^; 68 !; 5 ?; 73 :)
% Comments :
%------------------------------------------------------------------------------
thf(zip_tseitin_0_type,type,
zip_tseitin_0: $i > $i > $o ).
thf(sk__type,type,
sk_: $i ).
thf(big_p_type,type,
big_p: $i > $o ).
thf(sk__1_type,type,
sk__1: $i ).
thf(sk__5_type,type,
sk__5: $i ).
thf(sk__4_type,type,
sk__4: $i > $i ).
thf(zip_tseitin_1_type,type,
zip_tseitin_1: $o ).
thf(x2125,conjecture,
( ? [X: $i] :
! [Y: $i] :
( ( big_p @ X )
<=> ( big_p @ Y ) )
<=> ( ? [X: $i] : ( big_p @ X )
<=> ! [Y: $i] : ( big_p @ Y ) ) ) ).
thf(zf_stmt_0,axiom,
( zip_tseitin_1
<=> ( ? [X: $i] : ( big_p @ X )
<=> ! [Y: $i] : ( big_p @ Y ) ) ) ).
thf(zip_derived_cl6,plain,
! [X0: $i] :
( zip_tseitin_1
| ~ ( big_p @ sk_ )
| ~ ( big_p @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zf_stmt_1,axiom,
! [Y: $i,X: $i] :
( ( zip_tseitin_0 @ Y @ X )
<=> ( ( big_p @ X )
<=> ( big_p @ Y ) ) ) ).
thf(zip_derived_cl2,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_0 @ X0 @ X1 )
| ~ ( big_p @ X0 )
| ~ ( big_p @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zf_stmt_2,type,
zip_tseitin_1: $o ).
thf(zf_stmt_3,type,
zip_tseitin_0: $i > $i > $o ).
thf(zf_stmt_4,conjecture,
( ? [X: $i] :
! [Y: $i] : ( zip_tseitin_0 @ Y @ X )
<=> zip_tseitin_1 ) ).
thf(zf_stmt_5,negated_conjecture,
~ ( ? [X: $i] :
! [Y: $i] : ( zip_tseitin_0 @ Y @ X )
<=> zip_tseitin_1 ),
inference('cnf.neg',[status(esa)],[zf_stmt_4]) ).
thf(zip_derived_cl9,plain,
! [X1: $i] :
( ~ zip_tseitin_1
| ~ ( zip_tseitin_0 @ ( sk__4 @ X1 ) @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(zip_derived_cl16,plain,
! [X0: $i] :
( ~ ( big_p @ X0 )
| ~ ( big_p @ ( sk__4 @ X0 ) )
| ~ zip_tseitin_1 ),
inference('dp-resolution',[status(thm)],[zip_derived_cl2,zip_derived_cl9]) ).
thf(zip_derived_cl20,plain,
! [X0: $i,X1: $i] :
( ~ ( big_p @ X1 )
| ~ ( big_p @ sk_ )
| ~ ( big_p @ ( sk__4 @ X0 ) )
| ~ ( big_p @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl6,zip_derived_cl16]) ).
thf(zip_derived_cl38,plain,
! [X0: $i] :
( ~ ( big_p @ X0 )
| ~ ( big_p @ sk_ )
| ~ ( big_p @ ( sk__4 @ X0 ) ) ),
inference(condensation,[status(thm)],[zip_derived_cl20]) ).
thf(zip_derived_cl6_001,plain,
! [X0: $i] :
( zip_tseitin_1
| ~ ( big_p @ sk_ )
| ~ ( big_p @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5,plain,
! [X0: $i,X1: $i] :
( ~ ( big_p @ X0 )
| ( big_p @ X1 )
| ~ zip_tseitin_1 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl19,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( big_p @ X2 )
| ~ ( big_p @ sk_ )
| ( big_p @ X0 )
| ~ ( big_p @ X1 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl6,zip_derived_cl5]) ).
thf(zip_derived_cl35,plain,
! [X0: $i,X1: $i] :
( ~ ( big_p @ X0 )
| ~ ( big_p @ sk_ )
| ( big_p @ X1 ) ),
inference(condensation,[status(thm)],[zip_derived_cl19]) ).
thf(zip_derived_cl36,plain,
! [X0: $i] :
( ( big_p @ X0 )
| ~ ( big_p @ sk_ ) ),
inference(condensation,[status(thm)],[zip_derived_cl35]) ).
thf(zip_derived_cl39,plain,
! [X0: $i] :
( ~ ( big_p @ ( sk__4 @ X0 ) )
| ~ ( big_p @ sk_ ) ),
inference(clc,[status(thm)],[zip_derived_cl38,zip_derived_cl36]) ).
thf(zip_derived_cl36_002,plain,
! [X0: $i] :
( ( big_p @ X0 )
| ~ ( big_p @ sk_ ) ),
inference(condensation,[status(thm)],[zip_derived_cl35]) ).
thf(zip_derived_cl40,plain,
~ ( big_p @ sk_ ),
inference(clc,[status(thm)],[zip_derived_cl39,zip_derived_cl36]) ).
thf(zip_derived_cl8,plain,
! [X0: $i] :
( zip_tseitin_1
| ( zip_tseitin_0 @ X0 @ sk__5 ) ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(zip_derived_cl1,plain,
! [X0: $i,X1: $i] :
( ~ ( big_p @ X0 )
| ( big_p @ X1 )
| ~ ( zip_tseitin_0 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl15,plain,
! [X0: $i] :
( zip_tseitin_1
| ( big_p @ X0 )
| ~ ( big_p @ sk__5 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl8,zip_derived_cl1]) ).
thf(zip_derived_cl5_003,plain,
! [X0: $i,X1: $i] :
( ~ ( big_p @ X0 )
| ( big_p @ X1 )
| ~ zip_tseitin_1 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl31,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( big_p @ sk__5 )
| ( big_p @ X2 )
| ( big_p @ X0 )
| ~ ( big_p @ X1 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl15,zip_derived_cl5]) ).
thf(zip_derived_cl51,plain,
! [X0: $i,X1: $i] :
( ~ ( big_p @ sk__5 )
| ( big_p @ X0 )
| ( big_p @ X1 ) ),
inference(condensation,[status(thm)],[zip_derived_cl31]) ).
thf(zip_derived_cl52,plain,
! [X0: $i] :
( ~ ( big_p @ sk__5 )
| ( big_p @ X0 ) ),
inference(condensation,[status(thm)],[zip_derived_cl51]) ).
thf(zip_derived_cl7,plain,
! [X0: $i] :
( zip_tseitin_1
| ( big_p @ X0 )
| ( big_p @ sk__1 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_0 @ X0 @ X1 )
| ( big_p @ X0 )
| ( big_p @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl9_004,plain,
! [X1: $i] :
( ~ zip_tseitin_1
| ~ ( zip_tseitin_0 @ ( sk__4 @ X1 ) @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(zip_derived_cl17,plain,
! [X0: $i] :
( ( big_p @ X0 )
| ( big_p @ ( sk__4 @ X0 ) )
| ~ zip_tseitin_1 ),
inference('dp-resolution',[status(thm)],[zip_derived_cl3,zip_derived_cl9]) ).
thf(zip_derived_cl25,plain,
! [X0: $i,X1: $i] :
( ( big_p @ sk__1 )
| ( big_p @ X1 )
| ( big_p @ ( sk__4 @ X0 ) )
| ( big_p @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl7,zip_derived_cl17]) ).
thf(zip_derived_cl64,plain,
! [X0: $i] :
( ( big_p @ sk__1 )
| ( big_p @ X0 )
| ( big_p @ ( sk__4 @ X0 ) ) ),
inference(condensation,[status(thm)],[zip_derived_cl25]) ).
thf(zip_derived_cl8_005,plain,
! [X0: $i] :
( zip_tseitin_1
| ( zip_tseitin_0 @ X0 @ sk__5 ) ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i] :
( ~ ( big_p @ X0 )
| ( big_p @ X1 )
| ~ ( zip_tseitin_0 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl14,plain,
! [X0: $i] :
( zip_tseitin_1
| ( big_p @ sk__5 )
| ~ ( big_p @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl8,zip_derived_cl0]) ).
thf(zip_derived_cl17_006,plain,
! [X0: $i] :
( ( big_p @ X0 )
| ( big_p @ ( sk__4 @ X0 ) )
| ~ zip_tseitin_1 ),
inference('dp-resolution',[status(thm)],[zip_derived_cl3,zip_derived_cl9]) ).
thf(zip_derived_cl29,plain,
! [X0: $i,X1: $i] :
( ~ ( big_p @ X1 )
| ( big_p @ sk__5 )
| ( big_p @ ( sk__4 @ X0 ) )
| ( big_p @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl14,zip_derived_cl17]) ).
thf(zip_derived_cl52_007,plain,
! [X0: $i] :
( ~ ( big_p @ sk__5 )
| ( big_p @ X0 ) ),
inference(condensation,[status(thm)],[zip_derived_cl51]) ).
thf(zip_derived_cl60,plain,
! [X0: $i,X1: $i] :
( ( big_p @ X0 )
| ( big_p @ ( sk__4 @ X0 ) )
| ~ ( big_p @ X1 ) ),
inference(clc,[status(thm)],[zip_derived_cl29,zip_derived_cl52]) ).
thf(zip_derived_cl65,plain,
! [X0: $i] :
( ( big_p @ ( sk__4 @ X0 ) )
| ( big_p @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl64,zip_derived_cl60]) ).
thf(zip_derived_cl14_008,plain,
! [X0: $i] :
( zip_tseitin_1
| ( big_p @ sk__5 )
| ~ ( big_p @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl8,zip_derived_cl0]) ).
thf(zip_derived_cl5_009,plain,
! [X0: $i,X1: $i] :
( ~ ( big_p @ X0 )
| ( big_p @ X1 )
| ~ zip_tseitin_1 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl27,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( big_p @ X2 )
| ( big_p @ sk__5 )
| ( big_p @ X0 )
| ~ ( big_p @ X1 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl14,zip_derived_cl5]) ).
thf(zip_derived_cl42,plain,
! [X0: $i,X1: $i] :
( ~ ( big_p @ X0 )
| ( big_p @ sk__5 )
| ~ ( big_p @ X1 ) ),
inference(condensation,[status(thm)],[zip_derived_cl27]) ).
thf(zip_derived_cl43,plain,
! [X0: $i] :
( ~ ( big_p @ X0 )
| ( big_p @ sk__5 ) ),
inference(condensation,[status(thm)],[zip_derived_cl42]) ).
thf(zip_derived_cl66,plain,
! [X0: $i] :
( ( big_p @ X0 )
| ( big_p @ sk__5 ) ),
inference('sup-',[status(thm)],[zip_derived_cl65,zip_derived_cl43]) ).
thf(zip_derived_cl69,plain,
big_p @ sk__5,
inference(condensation,[status(thm)],[zip_derived_cl66]) ).
thf(zip_derived_cl70,plain,
! [X0: $i] : ( big_p @ X0 ),
inference(demod,[status(thm)],[zip_derived_cl52,zip_derived_cl69]) ).
thf(zip_derived_cl72,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl40,zip_derived_cl70]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SYN374+1 : TPTP v8.1.2. Released v2.0.0.
% 0.07/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.mIGQV1iPC3 true
% 0.14/0.35 % Computer : n007.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sat Aug 26 17:48:26 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % Running in FO mode
% 0.22/0.68 % Total configuration time : 435
% 0.22/0.68 % Estimated wc time : 1092
% 0.22/0.68 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.74 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.74 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 1.39/0.77 % Solved by fo/fo3_bce.sh.
% 1.39/0.77 % BCE start: 10
% 1.39/0.77 % BCE eliminated: 0
% 1.39/0.77 % PE start: 10
% 1.39/0.77 logic: neq
% 1.39/0.77 % PE eliminated: -6
% 1.39/0.77 % done 17 iterations in 0.011s
% 1.39/0.77 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.39/0.77 % SZS output start Refutation
% See solution above
% 1.39/0.77
% 1.39/0.77
% 1.39/0.78 % Terminating...
% 1.54/0.88 % Runner terminated.
% 1.54/0.90 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------